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1389360000 = 273547827
BaseRepresentation
bin101001011001111…
…1111001110000000
310120211022210121210
41102303333032000
510321134010000
6345510450120
746300236150
oct12263771600
93524283553
101389360000
11653291806
12329363940
13191ac4812
14d2742760
1581e92350
hex52cff380

1389360000 has 320 divisors, whose sum is σ = 5276810880. Its totient is φ = 317184000.

The previous prime is 1389359987. The next prime is 1389360023. The reversal of 1389360000 is 639831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1389360000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679587 + ... + 1680413.

It is an arithmetic number, because the mean of its divisors is an integer number (16490034).

Almost surely, 21389360000 is an apocalyptic number.

1389360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638405440).

1389360000 is an abundant number, since it is smaller than the sum of its proper divisors (3887450880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1389360000 is an frugal number, since it uses more digits than its factorization.

1389360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1389360000 is about 37274.1197079153. The cubic root of 1389360000 is about 1115.8477201299.

Adding to 1389360000 its reverse (639831), we get a palindrome (1389999831).

The spelling of 1389360000 in words is "one billion, three hundred eighty-nine million, three hundred sixty thousand".